Author(s)

Ramin Mansouri^1*, Hasan Torabi¹, Mohammd Hoseini¹, Hosein Morshedzadeh²

¹Water Engineering Department, Lorestan University, Khoram Abad, Iran.
²Economics and Management Department, Tehran University, Tehran, Iran.

Nowadays, due to increasing population and water shortage and competition for its consumption, especially in the agriculture, which is the largest consumer of water, proper and suitable utilization and optimal use of water resources is essential. One of the important parameters in agriculture field is water distribution network. In this research, differential evolution algorithm (DE) was used to optimize Ismail Abad water supply network. This network is pressurized network and includes 19 pipes and 18 nodes. Optimization of the network has been evaluated by developing an optimization model based on DE algorithm in MATLAB and the dynamic connection with EPANET software for network hydraulic calculation. The developing model was run for the scale factor (F), the crossover constant (Cr), initial population (N) and the number of generations (G) and was identified best adeptness for DE algorithm is 0.6, 0.5, 100 and 200 for F and Cr, N and G, respectively. The optimal solution was compared with the classical empirical method and results showed that implementation cost of the network by DE algorithm was 10.66% lower than the classical empirical method.

Differential Evolution Algorithm, Optimization, Distribution Systems, Crossover Constant, Scale Factor

Mansouri, R. , Torabi, H. , Hoseini, M. and Morshedzadeh, H. (2015) Optimization of the Water Distribution Networks with Differential Evolution (DE) and Mixed Integer Linear Programming (MILP). Journal of Water Resource and Protection, 7, 715-729. doi: 10.4236/jwarp.2015.79059.